Let A(-2, 1), B (2, 4), and C (4, 2) be the three vertices of a triangle. If this triangle is rotated about 90° clockwise, what will be the new vertices A' , B' and C'?
Question
Let A(-2, 1), B (2, 4), and C (4, 2) be the three vertices of a triangle. If this triangle is rotated about 90° clockwise, what will be the new vertices A' , B' and C'?
Solution
To rotate a point 90° clockwise around the origin, you can use the following transformation:
If the original point is (x, y), the new point after rotation will be (y, -x).
So, let's apply this to each of the vertices:
A' = (1, 2) B' = (4, -2) C' = (2, -4)
So, the new vertices of the triangle after a 90° clockwise rotation are A'(1, 2), B'(4, -2), and C'(2, -4).
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